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Positive Characteristic Phenomena in Linear Series
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Positive Characteristic Phenomena in Linear Series. |
| 개인저자 | Challenor, John. |
| 단체저자명 | University of California, Davis. Mathematics. |
| 발행사항 | [S.l.]: University of California, Davis., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 52 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
| ISBN | 9781085795920 |
| 학위논문주기 | Thesis (Ph.D.)--University of California, Davis, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Osserman, Brian. |
| 이용제한사항 | This item must not be sold to any third party vendors.This item must not be added to any third party search indexes. |
| 요약 | This dissertation addresses several questions regarding the behavior of linear series on projective curves over a field of positive characteristic-in particular, how the phenomena of wild ramification and inseparability can give different results from those established by Eisenbud and Harris for characteristic 0. We begin by classifying the conditions under which a linear series can be wildly ramified and when that wild ramification can be considered minimal. We then use these results to establish criteria for when a given space of linear series with prescribed ramification has its expected dimension and contains only separable linear series.Next, we show that a formula given by Osserman for the number of separable linear series on the projective line with given ramification also counts the number of separable limit linear series on a genus 0 curve of compact type. We then use this result to give an example of a limit linear series which cannot be obtained as the limit of any family of linear series with given ramification. And we finish by showing that, unlike in characteristic 0, it is possible for a family of linear series specializing to a refined limit linear series on a curve of compact type to have ramification specializing to a node if the ramification at that node is wild. |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
